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1001221220309 is a prime number
BaseRepresentation
bin11101001000111010110…
…11110110011111010101
310112201022211100211210212
432210131123312133111
5112401000113022214
62043542113255205
7132223123645052
oct16443533663725
93481284324725
101001221220309
11356685305882
12142062b64505
13735512ac9cb
14366606dc029
151b09da9453e
hexe91d6f67d5

1001221220309 has 2 divisors, whose sum is σ = 1001221220310. Its totient is φ = 1001221220308.

The previous prime is 1001221220299. The next prime is 1001221220323. The reversal of 1001221220309 is 9030221221001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 659826416209 + 341394804100 = 812297^2 + 584290^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001221220309 - 220 = 1001220171733 is a prime.

It is a super-2 number, since 2×10012212203092 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001221220009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500610610154 + 500610610155.

It is an arithmetic number, because the mean of its divisors is an integer number (500610610155).

Almost surely, 21001221220309 is an apocalyptic number.

It is an amenable number.

1001221220309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001221220309 is an equidigital number, since it uses as much as digits as its factorization.

1001221220309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 1001221220309 in words is "one trillion, one billion, two hundred twenty-one million, two hundred twenty thousand, three hundred nine".